Question

9. The length of a rectangular garden is
6 m more than thrice of its breadth. If its
perimeter is 100 m, find the dimensions of the
-fifth
what
ngle
gles.
garden.​

Answer 1

Given :

• Length of Rectangular garden is 6m more than thrice its breadth.
• Perimeter of the garden is 100m.

To Find :

• Length and Breadth of Rectangular garden.

Solution :

$\longmapsto\tt{Let\:Breadth\:be=x}$

As given that length of Rectangular garden is 6m more than thrice its breadth.So ,

$\longmapsto\tt{Length=3x+6}$

Using Formula :

$\longmapsto\tt\boxed{Perimeter\:of\:Rectangle=2(l+b)}$

Putting Values :

$\longmapsto\tt{100=2(3x+6+x)}$

$\longmapsto\tt{\cancel\dfrac{100}{2}=3x+6+x}$

$\longmapsto\tt{50=4x+6}$

$\longmapsto\tt{50-6=4x}$

$\longmapsto\tt{44=4x}$

$\longmapsto\tt{x=\cancel\dfrac{44}{4}}$

$\longmapsto\tt\bold{x=11}$

Value of x is 11.

Therefore :

$\longmapsto\tt{Length=3(11)+6}$

$\longmapsto\tt{33+6}$

$\longmapsto\tt\bold{39m}$

$\longmapsto\tt\bold{Breadth=11m}$

_______________________

VERIFICATION :

$\longmapsto\tt{100=2(l+b)}$

$\longmapsto\tt{100=2(39+11)}$

$\longmapsto\tt{100=2(50)}$

$\longmapsto\tt\bold{100=100}$

HENCE VERIFIED